Calculation of the single-particle Green's function of interacting fermions in arbitrary dimension via functional bosonization

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dc.creatorKopietz, Peter
dc.date1995-06-28
dc.date.accessioned2026-07-07T03:07:46Z
dc.date.available2026-07-07T03:07:46Z
dc.descriptionThe single-particle Green's function of an interacting Fermi system with dominant forward scattering is calculated by decoupling the interaction by means of a Hubbard-Stratonowich transformation involving a bosonic auxiliary field $ϕ^α$. We obtain a higher dimensional generalization of the well-known one-dimensional bosonization result for the Green's function by first calculating the Green's function for a fixed configuration of the $ϕ^α$-field and then averaging the resulting expression with respect to the probability distribution ${\cal{P}} \{ ϕ^α \} \propto \exp [ - S_{eff} \{ ϕ^α \} ]$, where $S_{eff} \{ ϕ^α \}$ is the effective action of the $ϕ^α$-field. We emphasize the approximations inherent in the higher-dimensional bosonization approach and clarify its relation with diagrammatic perturbation theory.
dc.descriptioncompressed postscript file, 4 figures included. This is a written version of a talk I gave at the Raymond L. Orbach Symposium, Riverside, Ca, March 18, 1995. To be published in the Proceedings of the Orbach Symposium, World Scientific. Editor: D. Hone
dc.identifierhttps://arxiv.org/abs/cond-mat/9506132
dc.identifierhttp://arxiv.org/abs/cond-mat/9506132
dc.identifierProceedings of the Raymond L. Orbach Symposium, p. 101-119, edited by D. Hone (World Scientific, Singapore, 1996)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27300
dc.subjectCondensed Matter
dc.titleCalculation of the single-particle Green's function of interacting fermions in arbitrary dimension via functional bosonization
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